AP EAMCET · Maths · Limits
If is defined by , where and is such that then the value of is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
Given: fx=1+2xk for 0≤x<1kx for 1≤x<2 Now, limx→1-fx=limx→1+fx ⇒1+2k=k ⇒k+2=k2 ⇒k2-k-2=0 ⇒k2-2k+k-2=0 ⇒k+1k-2=0 ⇒k=2 and -1 But, k>0 Hence, k=2⇒k2=4.
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